On the stability of invariant sets of a system of autonomous differential equations under constantly acting perturbations

1999 ◽  
Vol 51 (9) ◽  
pp. 1448-1453
Author(s):  
A. O. Ignat'ev ◽  
B. I. Konosevich
Keyword(s):  
Differential Equations ◽  
Invariant Sets ◽  
The Stability ◽  
Autonomous Differential Equations

On the stability of invariant sets of functional differential equations

2003 ◽  
Vol 55 (6) ◽  
pp. 641-656 ◽  
Author(s):  
Stephen R. Bernfeld ◽  
Constantin Corduneanu ◽  
Alexander O. Ignatyev
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Invariant Sets ◽  
Functional Differential ◽  
The Stability

STABILITY OF ONE-PARAMETER SYSTEMS OF LINEAR AUTONOMOUS DIFFERENTIAL EQUATIONS WITH BOUNDED DELAY

2018 ◽  
pp. 488-502
Author(s):  
Mikhail Vadimovich Mulyukov
Keyword(s):  
Characteristic Function ◽  
Differential Equations ◽  
Stability Region ◽  
Scalar Parameter ◽  
Bounded Delay ◽  
The Stability ◽  
Autonomous Differential Equations

We consider a system of linear autonomous differential equations with bounded delay in the case when its characteristic function depends linearly on one scalar parameter. The application of the D-subdivision method to the problem of constructing the stability region for this equation was developed.

STABILITY AND BOUNDEDNESS BEHAVIOUR OF SOLUTIONS OF A CERTAIN SECOND ORDER NON-AUTONOMOUS DIFFERENTIAL EQUATIONS

2021 ◽  
Vol 10 (9) ◽  
pp. 3129-3140
Author(s):  
A.L. Olutimo ◽  
O.M. Akinmoladun ◽  
D.L. Enosegbe
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Boundedness Of Solutions ◽  
Ultimate Boundedness ◽  
The Stability ◽  
Autonomous Differential Equations

In this paper, we give sufficient conditions for the stability and ultimate boundedness of solutions to a certain second order non-autonomous differential equations with damped and forced functions. Our results improve and extend some of the stability and boundedness results in the literature which themselves are extensions of some results cited therein. We give example to illustrate the result obtained.

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